Government Surveillance Transparency Act of 2022 This bill requires that law enforcement authorities notify subjects of criminal surveillance orders that cover emails, texts, and similar electronic data and limits the ability of authorities to delay or preclude the required notice. In addition, the bill (1) prohibits, subject to exceptions, courts from sealing criminal surveillance orders; (2) generally requires that public docket records related to criminal surveillance orders be made publicly available; and (3) permits any person to request that a court unseal a surveillance order.